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Excel in math and science
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Algebra
Absolute Value
Excel in math and science
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Concept Quizzes
Let \(x=70\) be one root of the equation \(2\lvert x-10\rvert=x+a,\) where \(a\) is a constant. Then what is the other root?
Excel in math and science
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by Brilliant Staff
Let \(S\) be the solution set of the equation \(\lvert 2x-1 \rvert + 3\lvert x-29\rvert=5x-88.\) Then what is \(S?\)
Excel in math and science
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by Brilliant Staff
How many ordered pairs \((x, y)\) are there such that \(x\) is a nonzero integer that satisfies \(-8\leq x \leq 8\), \(y\) is a nonzero integer that satisfies \(-2\leq y \leq 2\), and \[\lvert x+y \rvert = \lvert x \rvert + \lvert y \rvert?\]
Details and assumptions
For an ordered pair of integers \((a,b)\), the order of the integers matter. The ordered pair \((1, 2)\) is different from the ordered pair \((2,1) \).
Excel in math and science
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by Brilliant Staff
How many ordered triples of integers \( (a, b, c) \) subject to \( -20 < a < b < c < 20,\) are there, such that
\[ \left| a + b + c \right | = |a| + |b| + |c|? \]
Excel in math and science
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If \(20 < a \leq 21\), what is the value of \[ \bigg| 2-a- \big| 6- \lvert a-20 \rvert \big| \bigg| ?\]
Excel in math and science
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Our wiki is made for math and science
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by Brilliant Staff